Question

explain how to plot a point in the rectangular coordinate system. give an example with your explanation. to plot the point (a,b) in the rectangular coordinate system, if a is positive, go |a| units from zero along the and if a is negative, go |a| units from zero along the then, if b is positive, go |b| units parallel to the and if b is negative, go |b| units parallel to the as an example, the point is plotted on the graph to the right. (type an ordered pair.)

Explanation:

Step1: Understand x - coordinate movement

In a rectangular coordinate system, for the point \((a,b)\), the \(x\) - coordinate is \(a\). If \(a\) is positive, we go \(|a|\) units to the right from zero along the \(x\) - axis. If \(a\) is negative, we go \(|a|\) units to the left from zero along the \(x\) - axis.

Step2: Understand y - coordinate movement

The \(y\) - coordinate is \(b\). If \(b\) is positive, we go \(|b|\) units up parallel to the \(y\) - axis. If \(b\) is negative, we go \(|b|\) units down parallel to the \(y\) - axis.

Step3: Provide an example

Let's take the point \((3, - 2)\). Since \(a = 3\) (positive), we go 3 units to the right along the \(x\) - axis from the origin \((0,0)\). Since \(b=-2\) (negative), we go 2 units down parallel to the \(y\) - axis.

Answer:

To plot the point \((a,b)\) in the rectangular coordinate system, if \(a\) is positive, go \(|a|\) units to the right from zero along the \(x\) - axis and if \(a\) is negative, go \(|a|\) units to the left from zero along the \(x\) - axis. If \(b\) is positive, go \(|b|\) units up parallel to the \(y\) - axis and if \(b\) is negative, go \(|b|\) units down parallel to the \(y\) - axis. For example, the point \((3,-2)\) is plotted by going 3 units to the right along the \(x\) - axis and 2 units down parallel to the \(y\) - axis.